GCD of 238, 362, 14, 635 Calculator

Given Input numbers are 238, 362, 14, 635

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 238, 362, 14, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 362, 14, 635 is 1.

Therefore, GCD of numbers 238, 362, 14, 635 is 1

Given Input Data is 238, 362, 14, 635

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 362 is 2 x 181

Prime Factorization of 14 is 2 x 7

Prime Factorization of 635 is 5 x 127

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(238, 362) = 43078

GCD(238, 362) = ( 238 x 362 ) / 43078

GCD(238, 362) = 86156 / 43078

GCD(238, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 635

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 635) = 1270

GCD(2, 635) = ( 2 x 635 ) / 1270

GCD(2, 635) = 1270 / 1270

GCD(2, 635) = 1

GCD of 238, 362, 14, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 185, 97, 698
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1. What is the GCD of 238, 362, 14, 635?

GCD of 238, 362, 14, 635 is 1

2. Where do I get the detailed procedure to find GCD of 238, 362, 14, 635?

You can find a detailed procedure to find GCD of 238, 362, 14, 635 on our page.

3. How to find GCD of 238, 362, 14, 635 on a calculator?

You can find the GCD of 238, 362, 14, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.